Histogram Worksheet

Free printable and online worksheets to help Grade 6 students review how to construct and interpret a frequency histogram.

Histogram

Histograms provide a visual representation of the distribution of a dataset. A histogram is useful to describe the shape of the data distribution. It is important to think about the shape of a data distribution because depending on the shape, there are different ways to describe important features of the distribution, such as center, variability, skewness, modality, and the presence of outliers. A histogram may have a symmetric or approximately symmetric distribution or it may have a skewed distribution.

Steps to Create a Histogram

1. Gather the numerical data you want to visualize.
2. Decide how many intervals (bins) you want to divide your data into. This can be determined based on the range of the data and the level of detail desired. Usually about 5 to 10 bins would be suitable.
3. Calculate the bin width by subtracting the minimum value from the maximum value and then dividing by the number of bins.
4. Create the frequency distribution by counting how many data points fall into each bin.
5. Draw the Histogram:
   On the horizontal axis, place the bins (intervals).
   On the vertical axis, place the frequencies (counts) of data points in each bin.
   Draw bars for each bin with heights corresponding to their frequencies.

Interpreting Histograms Distributions

Shape of Distribution:
Symmetrical: The left and right sides are approximately mirror images.
Skewed Left (Negative Skew): The left tail is longer; most data points are on the right.
Skewed Right (Positive Skew): The right tail is longer; most data points are on the left.

Modality:
Unimodal: One peak.
Bimodal: Two peaks.
Multimodal: More than two peaks.

Spread and Range:
Indicates the variability of the data.
Wide spread suggests high variability; narrow spread suggests low variability.

Outliers:
Data points that fall far outside the range of most other points.
Can be identified as isolated bars at either end of the histogram.

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